一類(lèi)復(fù)合型合作競(jìng)爭(zhēng)模型的全局定性分析.pdf

1、中山大學(xué)碩士學(xué)位論文一類(lèi)復(fù)合型合作競(jìng)爭(zhēng)模型的全局定性分析姓名：嚴(yán)蓉申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：王遠(yuǎn)世20090520中山大學(xué)碩士學(xué)位論文Globallyqualitativeanalysisofamixedcooperation—competitionmodelMajor：appliedmathematicsName：RongYanSupervisor：YuanshiWangAbstractIntheLotkaVolter

2、racompetitionmodelandsimilarcompetitionmodels，speciesCanonlycoexigifbetweenspeciescompetitionisweakerthanwithinspeciesPriormodelingandfieldstudieshaveshownthatspeciescoexistenceCanbepromotedbyreducingthecompetitiveabilit

3、ybetweenspeciesthroughspatialortemporalnichedifferentiationColonizationdisturbance，aggregationinpatchyhabitats，resourcetransportandsupplyrates，predationsexratiomediationhavebeensuggestedtopromotespeciescoexistenceTherole

4、ofmutualisminpromotingcoexistenceofcompetingspecieshasrarelybeenquantitativelystudiedinthisstudybystartingfromthetraditionalLotkaVolterracompetitionmodel，wepresentacooperation—competitionmodeltomodelingcompetitorswithcoo

5、perationatlowdensityHerecomplexinteractionmeal／sthattheinteractionofonespeciestotheotherisflexibleinsteadofalwayscompetitivethatis，whenthepopulationofonespeciesislessthansomefixedpointtheinteractionofthisspeciestotheothe

6、roneiscooperatitive；whenthepopulationofonespeciesislargerthanthatfixedpointtheinteractioniscompetitiveInthispaperwedogloballyquantitativeanalysisandnumericalsimulatingtothenewmodelWeprovethatthesystemadmitsnoperiodicorbi

7、torlimitcycle，andpresentpicturesofthesystemunderdifferentinitialconditionsBydoinggloballyquantitativeanalysisandnumericalsimulating，weshowthatcooperationatlowdensitypromotescoexistenceandincreasescarryingcapacityofthecom